Sums and Product

Move the green point to a desired location, and then move the red point and observe what happens.


This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Questions

1.) What do the numbers on the side of the rectangle represent? 

2.) What does the number inside the rectangle represent?

3.) What is the relationship among the numbers on the green point and the other numbers?

4.) What is the minimum/maximum number that can be obtained inside the rectangle? 


5.) What does the geometric and algebraic interpretation of the problem above?

Overlapping Squares

Move the blue point and observe what happens.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

1. Make a conjecture about the area of the overlapping regions.
2. Prove  your conjecture.

Largest Equilateral Triangle

What is the largest equilateral triangle that can be cut from a square with side length 1 unit. Drag points P and Q to find out.




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You may want to see more than 50 step-by-step GeoGebra tutorials at Mathematics and Multimedia.